Russell Lyons
Russell David Lyons (6 September 1957) is an American mathematician, specializing in "probability theory on graphs, combinatorics, statistical mechanics, ergodic theory and harmonic analysis".[1]
Lyons graduated with B.A. mathematics in 1979 from Case Western Reserve University.[2] He received his Ph.D. in 1983 from the University of Michigan with thesis A Characterization of Measures Whose Fourier-Stieltjes Transforms Vanish at Infinity under the supervision of Hugh L. Montgomery and Allen Shields.[3] Lyons was a postdoc for the academic year 1984–1985 at the University of Paris-Sud. He was an assistant professor at Stanford University from 1985 to 1990 and an associate professor at Indiana University from 1990 to 1994. At Georgia Tech he was a full professor from 2000 to 2003. At Indiana University he was a professor of mathematics from 1994 to 2014 and is since 2014 the James H. Rudy Professor of Mathematics; there he has also been an adjunct professor of statistics since 2006.[2]
Lyons has held visiting positions in the United States, France, and Israel.[2] In 2012 he was elected a Fellow of the American Mathematical Society.[1] In 2014 he was an invited speaker of the International Congress of Mathematicians (ICM) in Seoul.[4] In 2017 a conference was held in Tel Aviv in honor of his 60th birthday.[5]
Selected publications
- Lyons, Russell (1990). "Random Walks and Percolation on Trees". The Annals of Probability. 18 (3): 931–958. doi:10.1214/aop/1176990730. JSTOR 2244410.
- Lyons, Russell; Pemantle, Robin; Peres, Yuval (1995). "Conceptual Proofs of L Log L Criteria for Mean Behavior of Branching Processes". The Annals of Probability. 23 (3): 1125–1138. doi:10.1214/aop/1176988176. JSTOR 2244865.
- Lyons, Russell (1997). "A Simple Path to Biggins' Martingale Convergence for Branching Random Walk". Classical and Modern Branching Processes. The IMA Volumes in Mathematics and its Applications. 84. pp. 217–221. doi:10.1007/978-1-4612-1862-3_17. ISBN 978-1-4612-7315-8.
- Schramm, Oded; Peres, Yuval; Lyons, Russell; Benjamini, Itai (2001). "Uniform spanning forests". The Annals of Probability. 29: 1–65. doi:10.1214/aop/1008956321.
- Aldous, David; Lyons, Russell (2007). "Processes on unimodular random networks" (PDF). Electronic Journal of Probability. 12: 1454–1508.
- Lyons, Russell; Peres, Yuval (2017-01-20). Probability on Trees and Networks. Cambridge University Press. ISBN 9781316785331.[6]
References
- "American Mathematical Society's first class of fellows includes six from IU Bloomington". IU News, Indiana University. 9 November 2012.
- "Russell Daivd Lyons, CV" (PDF). Indiana University (iu.edu).
- Russell David Lyons at the Mathematics Genealogy Project
- "Determinantal Probability: Basic Properties and Conjectures". Proceedings of the ICM, Seoul 2014. vol. 4. pp. 137–161. arXiv preprint
- "Elegance in probability: A conference honoring Russell Lyon's 60th birthday, September 3–7 2017, Tel Aviv". Institute of Mathematical Statistics.
- Durrett, Richard (15 May 2017). "Review of Probability on Trees and Networks by Russell Lyons and Yuval Peres". MAA Reviews, Mathematical Association of America.
External links
- "Russell Lyons, homepage". Indiana University (IU).
- "Papers Available Electronically in PostScript or PDF". Russell Lyons, IU.
- "List of Papers Not Available Electronically". Russell Lyons, IU.
- "ICM2014 VideoSeries IL 12.4 : Russell Lyons on Aug16Sat". YouTube. Seoul ICM VOD. 18 August 2014.
- "Russell Lyons - Poisson-Furstenberg boundaries and the Kaimanovich-Vershik conjecture". YouTube. Israel Institute for Advance Studies. 11 October 2015. (joint with Yuval Peres)
- "Random orderings and unique ergodicitiy of automorphism groups - Russell Lyons". YouTube. Institute for Advanced Study. 13 September 2016.